(15 points) 1. The owner of a local bakery keeps track of the number of birthday cakes sold each day over the course of several weeks. Based on the data, she creates the following probability distribution for the number of birthday cakes sold each day. discrete x = Number of birthday 5 6 7 8 9 cakes sold Probability of x = P(x) 0.64 0.20 0.10 0.03 0.03 The probabite a) Based on the probability distribution, what is the probability that 9 birthday cakes are sold in a must day? The probability that a birthday cakes are sold in a day is 0.03. ( P x = 9 = 0.03 P ( x = 9 ) = 1 - P ( X = 0 or X = 1 or x 2 2 or x = 3 or x=4)= 1-Lo,64+ 0.20+ b) Construct the probability histogram for the number of birthday cakes sold each day. .1 0 + 0.03 ) P ( X ) 2 1 - 0. 97= 0.03 . 70 .60+ . 404 Probability . 30 . 20 5 8 9 x c) On a randomly selected day, what is the probability that the bakery sells at most 7 birthday cakes